Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 3 - Data Description - 3-2 Measures of Variation - Exercises 3-2 - Page 146: 36

Answer

$385-895$pounds

Work Step by Step

Chebyshev’s theorem The proportion of values from a data set that will fall within k standard deviations of the mean will be at least $1−1/k^2$, where k is a number greater than 1 (k is not necessarily an integer). 36. Solid Waste Production The average college student produces 640 pounds of solid waste each year. If the standard deviation is approximately 85 pounds, within what weight limits will at least 88.89% of all students’ garbage lie? Let $1-1/k^2=0.8889$ we have $k=3$ and $3s=3\times85=255$. The weight range would be $640-255$ to $640+255$ or $385-895$pounds
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